Scarlett Johansson moves in with Sean Penn?

London: Actress Scarlett Johansson has reportedly moved into Sean Penn`s $3.8 million home.

The couple have only been dating since February - two months after "Iron Man 2" star Johansson split with ex-husband Ryan Reynolds, but sources say she has already started living at Sean`s Malibu home, reports

"Scarlett has moved in over the last few weeks. They just stay home, rather than be seen in public," said a source.

The couple are said to enjoy working out together, eating in and spending time with Sean`s children, daughter Dylan, 20, and son Hopper, 17, from his marriage to Robin Wright.

Johansson, 26, first struck up a friendship with Penn, 50, when she was considering flying to Haiti to help people affected by the two earthquakes in January 2010.